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Finding the Fourth Proportional to 5,371.57, 8,057.02 and 3,194.15

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Solution

The fourth proportional to 5,371.57, 8,057.02 and 3,194.15 is: 4,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.57 : 8,057.02 = 3,194.15 : x
  2. Step 2: Convert to fraction form
    5,371.57/8,057.02 = 3,194.15/x
  3. Step 3: Cross multiply
    5,371.57x = 8,057.02 × 3,194.15
  4. Step 4: Simplify right side
    5,371.57x = 25,735,330.43
  5. Step 5: Solve for x
    x = 25,735,330.43/5,371.57
  6. Step 6: Final answer
    x = 4,791.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.